Question

4x-3y+4=0,4x+3y-20=0,find the area bounded by these lines and x axis.​

Answer 1

Answer:

on x axis y is zero therefore ans is -1 and 5

Answer 2

Answer:

4x−3y+4=0

⟹x=  

4

−4+3y

​  

 

Let, y=4, then x=  

4

−4+3(4)

​  

=2

Similarly, when y=0,x=−1

4x+3y−20=0

⟹x=  

4

20−3y

​  

 

Let, y=4, then x=  

4

20−3(4)

​  

=2

Similarly, when y=0,x=5

Plotting the above points on the graph, we get, the intersecting point i.e(2,4)

Area of the region bounded by these lines and x-axis =  

2

1

​  

×6units×4 units

=12 sq. units.

hope it helps you.